On sums of seven cubes

Authors
Bertault, F Ramare, O Zimmermann, P
Citation
F. Bertault et al., On sums of seven cubes, MATH COMPUT, 68(227), 1999, pp. 1303-1310
Citations number
15
Categorie Soggetti
Mathematics
Journal title
MATHEMATICS OF COMPUTATION
ISSN journal
00255718 → ACNP
Volume
68
Issue
227
Year of publication
1999
Pages
1303 - 1310
Database
ISI
SICI code
0025-5718(199907)68:227<1303:OSOSC>2.0.ZU;2-2
Abstract
We show that every integer between 1290741 and 3.375 x 10(12) is a sum of 5 nonnegative cubes, from which we deduce that every integer which is a cubi c residue module 9 and an invertible cubic residue module 37 is a sum of 7 nonnegative cubes.